Influence of a finite azimuthal energy of surface anchoring on the Fréedericksz transition in droplets of a nematic liquid crystal with a bipolar structure

The problem of finding an approximate theoretical description of the electrically induced Fréedericksz transition in droplets of a nematic liquid crystal (NLC) with a bipolar structure is solved for the case of a finite azimuthal energy of surface anchoring due to the interaction of the surface layer of the NLC with the oriented supramolecular structure of the polymer near the interface between the droplet and the dispersive polymer matrix. An analytical expression for the critical field of the Fréedericksz transition with allowance for size effects due to surface interactions is obtained in the single-domain approximation, which admits only scale deformations and nonlocal rotations of the oriented structure of the NLC